![]() ![]() Suppose a rigid body of an arbitrary shape is in pure rotational motion about the \(\mathrm. plane motion about libration points: nonlinearity and eccentricity effects. This chapter discusses the kinematics and dynamics of pure rotational motion. In this chapter and in Chapters 17 and 18, we will be concerned with the kinetics of rigid bodies, i.e., relations between the forces acting on a rigid body. solutions of the third sort for restricted problem of three bodies in the. The general plane motion: The motion here can be considered as a combination of pure translational motion parallel to a fixed plane in addition to a pure rotational motion about an axis that is perpendicular to that plane. weight of a body when its CG moves horizontally Work of Forces Acting on a RB 7:42 AM Mohammad Suliman Abuhaiba, Ph.D., PE 7 Forces acting on rigid bodies which do no work: Forces applied to fixed points: reactions at a frictionless pin when the supported body rotates about the pin. GROUP PROBLEM SOLVING (continued) Solution: 300 N 60(9. Contents Introduction Principle of Work and Energy for a Rigid Body Work of Forces Acting on a Rigid Body Kinetic Energy of a Rigid Body in Plane Motion Systems of Rigid Bodies Conservation of Energy Power Sample Problem 17.1 Sample Problem 17.2 Sample Problem 17.3 Sample Problem 17.4 Sample Problem 17. As discussed in Chapter 16, when a body is subjected to general. ![]() ![]() symmetric with respect to a fixed reference plane. Analyze problems involving translational motion. In equation form, a body in general plane motion has kinetic energy given by T 1/2 m (vG)2 + 1/2 I G 2 Several simplifications can occur. In other words, the axis is fixed and does not move or change its direction relative to an inertial frame of reference. motion for a rigid body in planar motion. The kinetic energy of a rigid body can be expressed as the sum of its translational and rotational kinetic energies. The pure rotational motion: The rigid body in such a motion rotates about a fixed axis that is perpendicular to a fixed plane. There are two types of plane motion, which are given as follows: When all parts of a rigid body move parallel to a fixed plane, then the motion of the object is referred to as plane motion. ![]()
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